Question

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Find and sketch the domain of the function. f(x, y) = √y+√4x² - y2 у 0 0 4 X 0 2 0 Type here to search a i

Answer 1

Ques Given fla,y)= sy + 2 4 We will find Domain of f(x,y) Domain Value of azy such that function frony) is defined is defined (or Real :) fray) = 5y + X for f(xy) is defined yzo & 4-20²_y² > o

yzo and 4-12-y? > 0 =) x² + y² = 4 Ganotion a is Unit Disk of badius 2. Sketch - I a x² + y2 < (2) 2 y x²7y² =4 - Sketch I T(0,2)

Take Intehsection of Sketch - I 2 we get كه I (-2,0) is Correct option